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Math Help - Ruled surface calculus

  1. #1
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    Ruled surface calculus

    Working on this problem and one of my classmates tried substituting x and y in terms on (z,theta) and once solved 1=1. Does that prove that it is a ruled surface?

    Thank you
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  2. #2
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    Re: Ruled surface calculus

    Hey topsaa.

    Can you show us what you tried (and how you got 1=1)?

    One hint that I can think of is to take the line equation, break up the functions and square all elements and try re-arrange them to show that you get x^2 + y^2 - z^2 = 1 which proves that the line lies on the surface.
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  3. #3
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    Re: Ruled surface calculus

    x^2 + y^2 - z^2 = 1
    replaced x= zsin(theta) + cos(theta), y=-zsincos(theta) + sin(theta)

    when plugging them in I get z^2 - z^2 + 1 = 1 , so 1 = 1
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